#include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; int main(){ ios::sync_with_stdio(false); cin.tie(0); int H, W; cin >> H >> W; vector fact(H + W + 1), inv(H + W + 1), a(H + 1), b(W + 1); fact[0] = 1; for(int i = 1; i <= H + W; i++) fact[i] = i * fact[i - 1]; inv[H + W] = 1 / fact[H + W]; for(int i = H + W; i >= 1; i--) inv[i - 1] = i * inv[i]; for(int i = 0; i <= H / 2; i++) a[H - i] = inv[i] * inv[H - 2 * i]; for(int i = 0; i <= W / 2; i++) b[W - i] = inv[i] * inv[W - 2 * i]; auto c = convolution(a, b); mint ans; for(int i = (H + W) / 2; i <= H + W; i++) ans += fact[i] * c[i]; cout << ans.val() << '\n'; }